Finite Group Databasebeta

← Group #9613

Character table — Group #9613

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444888888884444444444888888888888888888884444
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91-1111-1-1-1-1-1-11111-11111-1-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i11-1-111-1-1i−ii−i
χ101-1111-1-1-1-1-1-11111-11111-1-1-1-11-1ii−i−iii−i−i11-1-1iiii−i−i−i−i-1-111-1-111−ii−ii
χ111-1111-1-1-1-1-1-11111-11111-1-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii11-1-111-1-1−ii−ii
χ121-1111-1-1-1-1-1-11111-11111-1-1-1-11-1−i−iii−i−iii11-1-1−i−i−i−iiiii-1-111-1-111i−ii−i
χ131-1111-1-1-1-1-1-11111-1-1-1-1-111111-1ii−i−iii−i−i-1-111−i−i−i−iiiii11-1-1-1-111i−i−ii
χ141-1111-1-1-1-1-1-11111-1-1-1-1-111111-1ii−i−iii−i−i-1-111−i−i−i−iiiii-1-11111-1-1−iii−i
χ151-1111-1-1-1-1-1-11111-1-1-1-1-111111-1−i−iii−i−iii-1-111iiii−i−i−i−i11-1-1-1-111−iii−i
χ161-1111-1-1-1-1-1-11111-1-1-1-1-111111-1−i−iii−i−iii-1-111iiii−i−i−i−i-1-11111-1-1i−i−ii
χ172222222222-2-2-222-200000000-2-22222-2-2-2-2000000000000000000000000
χ182222222222-2-2-222-200000000-2-2-2-2-2-22222000000000000000000000000
χ1922222222-2-2222-2-2222222222-2-200000000-2-2-2-200000000000000000000
χ2022222222-2-2222-2-22-2-2-2-2-2-2-2-2-2-200000000222200000000000000000000
χ2122222222-2-2-2-2-2-2-2-200000000220000000000002i2i−2i−2i2i2i−2i−2i000000000000
χ2222222222-2-2-2-2-2-2-2-20000000022000000000000−2i−2i2i2i−2i−2i2i2i000000000000
χ23222-2-2-22-200-22-20022i2i−2i−2i2i2i−2i−2i0000000000000000000000i2−i2i2−i22−22−20000
χ24222-2-2-22-200-22-20022i2i−2i−2i2i2i−2i−2i0000000000000000000000−i2i2−i2i2−22−220000
χ25222-2-2-22-200-22-2002−2i−2i2i2i−2i−2i2i2i0000000000000000000000i2−i2i2−i2−22−220000
χ26222-2-2-22-200-22-2002−2i−2i2i2i−2i−2i2i2i0000000000000000000000−i2i2−i2i22−22−20000
χ2722-22-2-2-222-20002-20i2−i2i2−i2i2−i2i2−i20000002-22-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000
χ2822-22-2-2-222-20002-20i2−i2i2−i2i2−i2i2−i2000000-22-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000000
χ2922-22-2-2-222-20002-20−i2i2−i2i2−i2i2−i2i20000002-22-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000
χ3022-22-2-2-222-20002-20−i2i2−i2i2−i2i2−i2i2000000-22-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000000
χ3122-22-2-2-22-22000-220i2−i2i2−i2i2−i2i2−i2002i−2i2i−2i0000−i2i2−i2i22−2−222−2−22000000000000
χ3222-22-2-2-22-22000-220i2−i2i2−i2i2−i2i2−i200−2i2i−2i2i0000−i2i2−i2i2−222−2−222−2000000000000
χ3322-22-2-2-22-22000-220−i2i2−i2i2−i2i2−i2i2002i−2i2i−2i0000i2−i2i2−i2−222−2−222−2000000000000
χ3422-22-2-2-22-22000-220−i2i2−i2i2−i2i2−i2i200−2i2i−2i2i0000i2−i2i2−i22−2−222−2−22000000000000
χ352-2222-2-2-2222-2-2-2-22000000002-200000000000022-2-2-2-222000000000000
χ362-2222-2-2-2222-2-2-2-22000000002-2000000000000-2-22222-2-2000000000000
χ372-2222-2-2-222-222-2-2-22222-2-2-2-2-2200000000-2-22200000000000000000000
χ382-2222-2-2-222-222-2-2-2-2-2-2-22222-220000000022-2-200000000000000000000
χ392-2222-2-2-2-2-22-2-222200000000-222i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ402-2222-2-2-2-2-22-2-222200000000-22−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ412-22-2-22-220022-200-22i2i−2i−2i−2i−2i2i2i0000000000000000000000i2−i2−i2i22−2−220000
χ422-22-2-22-220022-200-22i2i−2i−2i−2i−2i2i2i0000000000000000000000−i2i2i2−i2−222−20000
χ432-22-2-22-220022-200-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000i2−i2−i2i2−222−20000
χ442-22-2-22-220022-200-2−2i−2i2i2i2i2i−2i−2i0000000000000000000000−i2i2i2−i22−2−220000
χ452-2-22-222-22-2000-220i2−i2i2−i2−i2i2−i2i2002-2-220000−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2000000000000
χ462-2-22-222-22-2000-220i2−i2i2−i2−i2i2−i2i200-222-20000−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2000000000000
χ472-2-22-222-22-2000-220−i2i2−i2i2i2−i2i2−i2002-2-220000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2000000000000
χ482-2-22-222-22-2000-220−i2i2−i2i2i2−i2i2−i200-222-20000i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2000000000000
χ492-2-22-222-2-220002-20i2−i2i2−i2−i2i2−i2i20000002i−2i−2i2ii2−i2−i2i2−22−222−22−2000000000000
χ502-2-22-222-2-220002-20i2−i2i2−i2−i2i2−i2i2000000−2i2i2i−2ii2−i2−i2i22−22−2−22−22000000000000
χ512-2-22-222-2-220002-20−i2i2−i2i2i2−i2i2−i20000002i−2i−2i2i−i2i2i2−i22−22−2−22−22000000000000
χ522-2-22-222-2-220002-20−i2i2−i2i2i2−i2i2−i2000000−2i2i2i−2i−i2i2i2−i2−22−222−22−2000000000000
χ53444-4-4-44-4004-4400-4000000000000000000000000000000000000000000
χ5444-4-444-4-40000000022−22−222222−22−22220000000000000000000000000000000000
χ5544-4-444-4-400000000−222222−22−222222−220000000000000000000000000000000000
χ564-44-4-44-4400-4-44004000000000000000000000000000000000000000000
χ574-4-4-44-4440000000022−22−2222−222222−220000000000000000000000000000000000
χ584-4-4-44-44400000000−222222−2222−22−22220000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).